Police said the Carter Bank & Trust at 106 S. Broad St. was robbed shortly before 10 a.m.
When officer's arrived, a bank official told them a man entered the bank and passed a note demanding cash.
The suspect left on foot with an undisclosed amount of cash.
No one was injured.
The suspect has been identified as Tyler Edward Worth, 25. A warrant for common law robbery has been issued but Worth is not in custody.
Anyone with information about his whereabouts is asked to contact the Burlington Police Department at (336) 229-3500.
For anonymous methods, call Alamance County-Wide Crimestoppers at (336) 229-7100 or text 8398 to 274637 for a text-a-tip method, both with possible cash rewards.